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20912833730880 = 26385721319823
BaseRepresentation
bin1001100000101001001100…
…00001101001100101000000
32202001020200100011200000000
410300110212001221211000
510220113440413342010
6112251120113000000
74255621341510300
oct460244601514500
982036610150000
1020912833730880
1167330a0498893
122419069853000
13b890c1867730
14524287c8b600
15263ecde1e7c0
hex130526069940

20912833730880 has 3024 divisors, whose sum is σ = 98617571095680. Its totient is φ = 4175068520448.

The previous prime is 20912833730837. The next prime is 20912833730881. The reversal of 20912833730880 is 8803733821902.

20912833730880 is a `hidden beast` number, since 20 + 9 + 1 + 283 + 37 + 308 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×209128337308802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20912833730881) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25410490149 + ... + 25410490971.

Almost surely, 220912833730880 is an apocalyptic number.

20912833730880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20912833730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49308785547840).

20912833730880 is an abundant number, since it is smaller than the sum of its proper divisors (77704737364800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20912833730880 is an equidigital number, since it uses as much as digits as its factorization.

20912833730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20912833730880 in words is "twenty trillion, nine hundred twelve billion, eight hundred thirty-three million, seven hundred thirty thousand, eight hundred eighty".